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Finding the Fourth Proportional to 61,982.40, 92,964.48 and 20,424

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Solution

The fourth proportional to 61,982.40, 92,964.48 and 20,424 is: 30,632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,982.40 : 92,964.48 = 20,424 : x
  2. Step 2: Convert to fraction form
    61,982.40/92,964.48 = 20,424/x
  3. Step 3: Cross multiply
    61,982.40x = 92,964.48 × 20,424
  4. Step 4: Simplify right side
    61,982.40x = 1,898,706,539.52
  5. Step 5: Solve for x
    x = 1,898,706,539.52/61,982.40
  6. Step 6: Final answer
    x = 30,632.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.